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Ideal Transformer Voltage Equation

A transformer is an electrical device that transfers electrical energy between two or more circuits through electromagnetic induction. A varying current in one coil of the transformer produces a varying magnetic field, which in turn induces a voltage in a second coil.

The ratio of turns in the primary coil to turns in the secondary coil equals the ratio between the primary voltage and the secondary voltage.

Formula

QuantityVariable[Subscript["N", "1"], "Unitless"]/QuantityVariable[Subscript["N", "2"], "Unitless"] == QuantityVariable[Subscript["V", "1"], "ElectricPotential"]/QuantityVariable[Subscript["V", "2"], "ElectricPotential"]

symbol description physical quantity
N1 primary turns "Unitless"
N2 secondary turns "Unitless"
V1 primary voltage "ElectricPotential"
V2 secondary voltage "ElectricPotential"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Ideal Transformer Voltage Equation"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Ideal Transformer Voltage Equation"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Ideal Transformer Voltage Equation"], {QuantityVariable[ \!\(\*SubscriptBox[\("V"\), \("1"\)]\),"ElectricPotential"] -> Quantity[220, "Volts"], QuantityVariable[ \!\(\*SubscriptBox[\("N"\), \("1"\)]\),"Unitless"] -> 200, QuantityVariable[ \!\(\*SubscriptBox[\("N"\), \("2"\)]\),"Unitless"] -> 100}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1831

Publisher Information